23. how many kilojoules of heat are required to melt a 50.0 - g popsicle at 0°c? assume the popsicle has the…

23. how many kilojoules of heat are required to melt a 50.0 - g popsicle at 0°c? assume the popsicle has the same molar mass and heat of fusion as water.

23. how many kilojoules of heat are required to melt a 50.0 - g popsicle at 0°c? assume the popsicle has the same molar mass and heat of fusion as water.

Answer

Explanation:

Step1: Recall heat - of - fusion formula

The formula for the heat required to melt a substance is $q = m\times\Delta H_{fus}$, where $q$ is the heat, $m$ is the mass, and $\Delta H_{fus}$ is the heat of fusion. The heat of fusion of water $\Delta H_{fus}=334\ J/g$.

Step2: Identify given values

The mass of the popsicle $m = 50.0\ g$.

Step3: Calculate the heat

Substitute the values into the formula: $q=m\times\Delta H_{fus}=50.0\ g\times334\ J/g = 16700\ J$.

Step4: Convert to kilojoules

Since $1\ kJ=1000\ J$, then $q=\frac{16700\ J}{1000}=16.7\ kJ$.

Answer:

$16.7\ kJ$